{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c15e640d-db52-4c5d-9308-dd0619216902",
   "metadata": {},
   "source": [
    "## 4.2. Riemann Solver: Rusanov Scheme\n",
    "\n",
    "Equation 59:\n",
    "\n",
    "$$f_{1+1/2} = \\frac{1}{2}\\left( f_{i+1/2}^L + f_{1+1/2}^R \\right) - \\frac{c_{1+1/2}}{2}\\left( u_{1+1/2}^R - u_{i+1/2}^L \\right)$$\n",
    "\n",
    "Equation 60:\n",
    "\n",
    "$$c_{i+1/2} = max(|u_i|, |u_{i+1}|)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "73aa0c22-8ed7-4201-aa48-946e18bee65e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from weno5_scheme import weno5_reconstruction\n",
    "from rk3 import rk3\n",
    "\n",
    "ghost_cells_n = 3\n",
    "\n",
    "x_l, x_r, t = 0, 1, 0.25\n",
    "nx = 200\n",
    "dt = 0.0001\n",
    "dx = (x_r - x_l) / nx\n",
    "nt = int(t / dt)\n",
    "\n",
    "x = np.linspace(dx / 2 - ghost_cells_n * dx, x_r - dx / 2 + ghost_cells_n * dx, nx +2 * ghost_cells_n)\n",
    "u = np.zeros((nt + 1, nx  + 2 * ghost_cells_n))\n",
    "u[0, :] = np.sin(2 * np.pi * x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ab26ccbb-cd40-4a13-981b-d013a9a05925",
   "metadata": {},
   "outputs": [],
   "source": [
    "f, rhs_buffer = np.zeros(nx + 1), np.zeros(nx)\n",
    "flux = lambda x: 0.5 * x ** 2\n",
    "\n",
    "# for periodic boundary\n",
    "def update_ghost_cells(buffer):\n",
    "    buffer[0], buffer[1], buffer[2] = buffer[nx], buffer[nx + 1], buffer[nx + 2]\n",
    "    buffer[-1], buffer[-2], buffer[-3] = buffer[2 * ghost_cells_n], buffer[2 * ghost_cells_n - 1], buffer[2 * ghost_cells_n - 2]\n",
    "    \n",
    "def right_hand_side(u0):\n",
    "\n",
    "    for i in range(nx + 1):\n",
    "        value = (u0[i], u0[i + 1], u0[i + 2], u0[i + 3], u0[i + 4])\n",
    "        uL = weno5_reconstruction(value)\n",
    "        \n",
    "        value = (u0[i + 5], u0[i + 4], u0[i + 3], u0[i + 2], u0[i + 1])\n",
    "        uR = weno5_reconstruction(value)\n",
    "        \n",
    "        c = max(np.abs([u0[i + ghost_cells_n - 1], u0[i + ghost_cells_n]]))\n",
    "\n",
    "        f[i] = 0.5 * (flux(uR) + flux(uL)) - 0.5 * c * (uR - uL)\n",
    "        \n",
    "    for i in range(nx):\n",
    "        rhs_buffer[i] = - (f[i+1] - f[i]) / dx\n",
    "\n",
    "    return rhs_buffer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "053fa3f7-5caf-41ad-b7b6-04034677f5d2",
   "metadata": {},
   "outputs": [],
   "source": [
    "intermediate = np.zeros_like(x)\n",
    "to_update_slice = slice(ghost_cells_n, nx+ghost_cells_n)\n",
    "\n",
    "for i in range(1, nt+1):\n",
    "    \n",
    "    buffer = right_hand_side(u[i-1])\n",
    "    intermediate[to_update_slice] = rk3(1, u[i-1, to_update_slice], buffer, dt, None)\n",
    "    update_ghost_cells(intermediate)\n",
    "    \n",
    "    buffer = right_hand_side(intermediate)\n",
    "    intermediate[to_update_slice] = rk3(2, u[i-1, to_update_slice], buffer, dt, intermediate[to_update_slice])\n",
    "    update_ghost_cells(intermediate)\n",
    "    \n",
    "    buffer = right_hand_side(intermediate)\n",
    "    intermediate[to_update_slice] = rk3(3, u[i-1, to_update_slice], buffer, dt, intermediate[to_update_slice])\n",
    "    update_ghost_cells(intermediate)\n",
    "    \n",
    "    u[i] = intermediate\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2e4aae26-e9a1-496e-b3da-c0406611a6c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts = np.linspace(0.025, 0.25, 10)\n",
    "plt.figure(figsize=(6, 4), dpi=100)\n",
    "for i, t_stamp in enumerate(ts):\n",
    "    index = int(t_stamp / dt)\n",
    "    plt.plot(x, u[index], linewidth=0.8, label=\"t=\"+format(t_stamp, \".4f\"))\n",
    "plt.legend(fontsize=7)\n",
    "plt.ylabel(\"$x$\")\n",
    "plt.ylabel(\"$u$\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3a5837e2-e430-4945-83a6-71bae4292c19",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "gpytorch",
   "language": "python",
   "name": "gpytorch"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
